Dissertation
Analytical Study of Light Propagation in Highly Nonlinear Media
Abstract
The present dissertation is devoted to the construction of exact and approximate analytical solutions of the problem of light propagation in highly nonlinear media. It is demonstrated that for many experimental conditions, the problem can be studied under the geometrical optics approximation with a sufficient accuracy. Based on the renormalization group symmetry analysis, exact analytical solutions of the eikonal equations with a higher order refractive index are constructed. A new analytical approach to the construction of approximate solutions is suggested. Based on it, approximate solutions for various boundary conditions, nonlinear refractive indices and dimensions are constructed. Exact analytical expressions for the nonlinear self-focusing positions are deduced. On the basis of the obtained solutions a general rule for the single filament intensity is derived; it is demonstrated that the scaling law (the functional dependence of the self-focusing position on the peak beam intensity) is defined by a form of the nonlinear refractive index but not the beam shape at the boundary. Comparisons of the obtained solutions with results of experiments and numerical simulations are discussed.
Collections
Dissertationen (Theoretische Physik II - Theoretische Festkörper- und Ultrakurzzeitphysik)Citation
@phdthesis{urn:nbn:de:hebis:34-2009081729481,
author={Tatarinova, Larisa},
title={Analytical Study of Light Propagation in Highly Nonlinear Media},
school={Kassel, Universität, FB 18, Naturwissenschaften, Institut für Physik},
month={08},
year={2009}
}
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<resource xsi:schemaLocation="http://datacite.org/schema/kernel-2.2 http://schema.datacite.org/meta/kernel-2.2/metadata.xsd"> 2009-08-17T09:44:11Z 2009-08-17T09:44:11Z 2009-08-17T09:44:11Z urn:nbn:de:hebis:34-2009081729481 http://hdl.handle.net/123456789/2009081729481 eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ self-focusing wave collapse 500 530 Analytical Study of Light Propagation in Highly Nonlinear Media Dissertation The present dissertation is devoted to the construction of exact and approximate analytical solutions of the problem of light propagation in highly nonlinear media. It is demonstrated that for many experimental conditions, the problem can be studied under the geometrical optics approximation with a sufficient accuracy. Based on the renormalization group symmetry analysis, exact analytical solutions of the eikonal equations with a higher order refractive index are constructed. A new analytical approach to the construction of approximate solutions is suggested. Based on it, approximate solutions for various boundary conditions, nonlinear refractive indices and dimensions are constructed. Exact analytical expressions for the nonlinear self-focusing positions are deduced. On the basis of the obtained solutions a general rule for the single filament intensity is derived; it is demonstrated that the scaling law (the functional dependence of the self-focusing position on the peak beam intensity) is defined by a form of the nonlinear refractive index but not the beam shape at the boundary. Comparisons of the obtained solutions with results of experiments and numerical simulations are discussed. open access Tatarinova, Larisa Kassel, Universität, FB 18, Naturwissenschaften, Institut für Physik Garcia, Martin E. (Prof. Dr.) Baumert, Thomas (Prof. Dr.) 42.60.Jf 42.65.Jx Licht Selbstfokussierung Wellenausbreitung Kollaps <Mathematik> 2009-07-08 </resource>
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